117646214400 has 1944 divisors, whose sum is σ = 535695984096. Its totient is φ = 25181798400.

The previous prime is 117646214341. The next prime is 117646214407. The reversal of 117646214400 is 4412646711.

It is a happy number.

117646214400 is a `hidden beast` number, since 1 + 1 + 7 + 646 + 2 + 1 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117646214407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5115052789 + ... + 5115052811.

Almost surely, 2^117646214400 is an apocalyptic number.

117646214400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117646214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267847992048).

117646214400 is an abundant number, since it is smaller than the sum of its proper divisors (418049769696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

117646214400 is a wasteful number, since it uses less digits than its factorization.

117646214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 117646214400 in words is "one hundred seventeen billion, six hundred forty-six million, two hundred fourteen thousand, four hundred".